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Which function has the same y-intercept as the function f(x)=|x-2| + 3?
A) g(x) =|x+1|
B) g(x) =|x| + 5
C) g(x) =|x| + 3
D) g(x) =|x+3| - 2

Please provide step by step answer

Which function has the same y-intercept as the function f(x)=|x-2| + 3? A) g(x) =|x+1| B) g(x) =|x| + 5 C) g(x) =|x| + 3 D) g(x) =|x+3| - 2 Please provide step class=

Answer :

MrRoyal

The function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5

Which function has the same y-intercept as the function f(x)=|x-2| + 3?

The function is given as:

f(x)=|x-2| + 3

Set x to 0 to determine the y-intercept

f(0)=|0-2| + 3

Expand

f(0) = 2 + 3

Evaluate

f(0) = 5

From the options, we have

g(x) =|x| + 5

This gives

g(0) =|0| + 5

Evaluate

g(0) = 5

Hence, the function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5

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